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Finding the Fourth Proportional to 402,999.74, 556,139.64 and 221,707.78

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Solution

The fourth proportional to 402,999.74, 556,139.64 and 221,707.78 is: 305,956.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,999.74 : 556,139.64 = 221,707.78 : x
  2. Step 2: Convert to fraction form
    402,999.74/556,139.64 = 221,707.78/x
  3. Step 3: Cross multiply
    402,999.74x = 556,139.64 × 221,707.78
  4. Step 4: Simplify right side
    402,999.74x = 123,300,487,523.74
  5. Step 5: Solve for x
    x = 123,300,487,523.74/402,999.74
  6. Step 6: Final answer
    x = 305,956.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.